Low-energy<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>π</mml:mi><mml:mi>π</mml:mi></mml:math>scattering in the large-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>N</mml:mi></mml:mrow><mml:mrow><mml:mi>c</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>limit of QCD

Bolokhov, A.A.; Manashov, A. N.; Polyakov, M. V.; Vereshagin, V.

doi:10.1103/physrevd.48.3090

Cited by 44 publications

(48 citation statements)

References 28 publications

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“…Thus, in this particular case the correcting polynomials of the degree N ensure the convergence of the partial fraction expansion (5) for the asymptotic low (9) with D < N + 2, the presence of ν N corresponding to the asymptotic behavior (9) with N ≤ D < N + 2 . The usefulness of the technique developed in this Section is explained by the fact that meromorphic functions with fiberwise given Regge asymptotics appear naturally in the framework of effective hadron field theory.…”

Section: Preliminary Notesmentioning

confidence: 99%

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Effective theories with maximal analyticity

Vereshagin

1998

Phys. Rev. D

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In this paper (second in the series) we study the properties of tree-level binary amplitudes of the infinite-component effective field theory of strong interaction obeying the requirements of quark-hadron duality and maximal analyticity. In contrast to the previous paper, here we derive the results following from less restrictive -Regge-like -boundedness conditions. We develop the technique of Cauchy's forms in two variables and show the string-like structure of a theory. Next, we derive the full set of bootstrap constraints for the resonance parameters in (π, K) system. Numerical test shows: (1) those constraints are consistent with data on well established vector resonances; (2) two light broad resonances -σ and κ -are needed to saturate sum rules following from Chiral symmetry and analyticity. As a by-product we obtain expressions for the parameters of Chiral expansions and give corresponding estimates.

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Section: Preliminary Notesmentioning

confidence: 99%

“…with [9]). Moreover, it allows one to reduce the very difficult (from the purely phenomenological point of view) problem of LEC's to the problem of spectrum parameters -on-shell triple couplings and masses (see [1]).…”

Section: Preliminary Notesmentioning

confidence: 99%

Effective theories with maximal analyticity

Vereshagin

1998

Phys. Rev. D

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“…In fact it was shown in the first of [30] that the molecular form can be transformed using Fierz identities to a linear combination of the "diquark-antidiquark" forms. We thus assume that some unspecified linear combination of M (2) , M (3) and M (4) , denoted by M ′ , represents the qqqq chiral nonet which mixes with M . The decomposition into pseudoscalar and scalar fields is given by,…”

Section: Two Chiral Nonetsmentioning

confidence: 99%

Are three flavors special?

et al. 2011

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It has become clearer recently that the regular pattern of three flavor nonets describing the low spin meson multiplets seems to require some modification for the case of the spin 0 scalar mesons. One picture which has had some success, treats the scalars in a chiral Lagrangian framework and considers them to populate two nonets. These are, in turn, taken to result from the mixing of two "bare" nonets, one of which is of quark-antiquark type and the other of two quark-two antiquark type. Here we show that such a mixing is, before chiral symmetry breaking terms are included, only possible for three flavors. In other cases, the two types of structure can not have the same chiral symmetry transformation property. Specifically, our criterion would lead one to believe that scalar and pseudoscalar states containing charm would not have "four quark" admixtures. This work is of potential interest for constructing chiral Lagrangians based on exact chiral symmetry which is then broken by well known specific terms. It may also be of interest in studying some kinds of technicolor theories.

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“…Holdom (1) Apart from the relation of the large N c limit, there is an additional relation in the local χQM: 2L 2 + L 3 = 0. The dual-resonance model has the same relation [23,24]. However, the quantity 2L 2 + L 3 is not equal to zero in the present model.…”

Section: Resultsmentioning

confidence: 78%

Effective chiral Lagrangian in the chiral limit from the instanton vacuum

Choi

Kim

2004

Phys. Rev. D

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We study the effective chiral Lagrangian in the chiral limit from the instanton vacuum. Starting from the nonlocal effective chiral action, we derive the effective chiral Lagrangian, using the derivative expansion to order O(p 4 ) in the chiral limit. The low energy constants, L 1 , L 2 , and L 3 are determined and compared with various models and the corresponding empirical data. The results are in a good agreement with the data. We also discuss about the upper limit of the sigma meson, based on the present results.

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Low-energyππscattering in the large-Nclimit of QCD

Cited by 44 publications

References 28 publications

Effective theories with maximal analyticity

Effective theories with maximal analyticity

Are three flavors special?

Effective chiral Lagrangian in the chiral limit from the instanton vacuum

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